An extension theorem for modular measures on effect algebras

Title:

An extension theorem for modular measures on effect algebras

Creator:

Barbieri, Giusepina

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:5690d80d-a37b-4add-a54f-41f188e85384
uuid:5690d80d-a37b-4add-a54f-41f188e85384

Subject:

effect algebras, modular measures, extension, Vitali-Hahn-Saks theorem, Nikodým theorem, decomposition theorem, control theorems, range, and Liapunoff theorem

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We prove an extension theorem for modular measures on lattice ordered effect algebras. This is used to obtain a representation of these measures by the classical ones. With the aid of this theorem we transfer control theorems, Vitali-Hahn-Saks, Nikodým theorems and range theorems to this setting.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

707-719

Source:

Czechoslovak Mathematical Journal | 2009 Volume:59 | Number:3

Harvested from:

CDK

Metadata only:

false